8680

8680 is the natural number that follows 8679 and precedes 8681. It is an even, composite integer used in number-theory contexts and in numeric labeling more generally.

In prime factorization terms, 8680 = 2^3 × 5 × 7 × 31. This factorization shows it has 32 positive divisors. The number is divisible by 8 and by 5, hence by 40 as well (8680 = 40 × 217). The sum of its decimal digits is 8 + 6 + 8 + 0 = 22, so it is not divisible by 3 or 9. The totient function value is φ(8680) = 2880, which counts the integers up to 8680 that are relatively prime to 8680.

Representations in other bases include binary and hexadecimal. In binary, 8680 is 10000111101000. In hexadecimal, it equals 0x21E8. These representations reflect the same value in different numeral systems and can be useful in computing contexts.

As a four-digit decimal number, 8680 is encountered in arithmetic, coding, and cataloging where plain numeric identifiers are used. Its factorization and divisor structure make it a straightforward example for illustrating concepts such as prime factorization, divisors, and Euler’s totient in elementary number theory.